116106072 has 32 divisors (see below), whose sum is σ = 290604480. Its totient is φ = 38656800.

The previous prime is 116106061. The next prime is 116106079. The reversal of 116106072 is 270601611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116106079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22923 + ... + 27525.

It is an arithmetic number, because the mean of its divisors is an integer number (9081390).

Almost surely, 2^116106072 is an apocalyptic number.

116106072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116106072 is an abundant number, since it is smaller than the sum of its proper divisors (174498408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116106072 is a wasteful number, since it uses less digits than its factorization.

116106072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 116106072 is about 10775.2527580563. The cubic root of 116106072 is about 487.8485039908.

Adding to 116106072 its reverse (270601611), we get a palindrome (386707683).

The spelling of 116106072 in words is "one hundred sixteen million, one hundred six thousand, seventy-two".